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2005 All roots of unity are detected by the A–polynomial
Eric Chesebro
Algebr. Geom. Topol. 5(1): 207-217 (2005). DOI: 10.2140/agt.2005.5.207

Abstract

For an arbitrary positive integer n, we construct infinitely many one-cusped hyperbolic 3–manifolds where each manifold’s A–polynomial detects every nth root of unity. This answers a question of Cooper, Culler, Gillet, Long, and Shalen as to which roots of unity arise in this manner.

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Eric Chesebro. "All roots of unity are detected by the A–polynomial." Algebr. Geom. Topol. 5 (1) 207 - 217, 2005. https://doi.org/10.2140/agt.2005.5.207

Information

Received: 23 February 2005; Accepted: 6 March 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1079.57006
MathSciNet: MR2135552
Digital Object Identifier: 10.2140/agt.2005.5.207

Subjects:
Primary: 57M27
Secondary: 57M50

Rights: Copyright © 2005 Mathematical Sciences Publishers

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